Simple and Accurate Polynomial Formulas for Error Rates of High-Order EGC in iid Rayleigh Fading

Q. T. Zhang

doi:10.1109/LWC.2022.3166750

Simple and Accurate Polynomial Formulas for Error Rates of High-Order EGC in iid Rayleigh Fading

Q. T. Zhang^*

^*Corresponding author for this work

Department of Electrical Engineering

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

2 Citations (Scopus)

Abstract

No simple error-rate formula is available to high-order equal-gain combining (EGC) although it is an open issue traceable to Lord Rayleigh. In this paper, we derive a polynomial error-rate formula for 4∼8th EGC in independent identically-distributed (iid) Rayleigh fading, with its coefficients provided in lookup tables and its base simply related to the branch signal-to-noise ratio. The polynomial formula enjoys fast convergence and 48 terms suffice to achieve the accuracy of 10^-9 or higher. It is easy to use, just like a handbook formula.

Original language	English
Pages (from-to)	1334-1338
Journal	IEEE Wireless Communications Letters
Volume	11
Issue number	7
Online published	12 Apr 2022
DOIs	https://doi.org/10.1109/LWC.2022.3166750
Publication status	Published - Jul 2022

Research Keywords

Diversity reception
Equal-gain combiners
Error analysis
Handbook-type solutions to EGC
High-order EGC performance
Indexes
Matlab
Polynomial EGC formulas
Probability density function
Rayleigh channels
Rayleigh fading.
Symbols

Access Output

10.1109/LWC.2022.3166750

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{900d6bcbd7e442cc977cfdb18d3134f3,

title = "Simple and Accurate Polynomial Formulas for Error Rates of High-Order EGC in iid Rayleigh Fading",

abstract = "No simple error-rate formula is available to high-order equal-gain combining (EGC) although it is an open issue traceable to Lord Rayleigh. In this paper, we derive a polynomial error-rate formula for 4∼8th EGC in independent identically-distributed (iid) Rayleigh fading, with its coefficients provided in lookup tables and its base simply related to the branch signal-to-noise ratio. The polynomial formula enjoys fast convergence and 48 terms suffice to achieve the accuracy of 10-9 or higher. It is easy to use, just like a handbook formula.",

keywords = "Diversity reception, Equal-gain combiners, Error analysis, Handbook-type solutions to EGC, High-order EGC performance, Indexes, Matlab, Polynomial EGC formulas, Probability density function, Rayleigh channels, Rayleigh fading., Symbols",

author = "Zhang, {Q. T.}",

year = "2022",

month = jul,

doi = "10.1109/LWC.2022.3166750",

language = "English",

volume = "11",

pages = "1334--1338",

journal = "IEEE Wireless Communications Letters",

issn = "2162-2337",

publisher = "IEEE Communications Society",

number = "7",

}

TY - JOUR

T1 - Simple and Accurate Polynomial Formulas for Error Rates of High-Order EGC in iid Rayleigh Fading

AU - Zhang, Q. T.

PY - 2022/7

Y1 - 2022/7

N2 - No simple error-rate formula is available to high-order equal-gain combining (EGC) although it is an open issue traceable to Lord Rayleigh. In this paper, we derive a polynomial error-rate formula for 4∼8th EGC in independent identically-distributed (iid) Rayleigh fading, with its coefficients provided in lookup tables and its base simply related to the branch signal-to-noise ratio. The polynomial formula enjoys fast convergence and 48 terms suffice to achieve the accuracy of 10-9 or higher. It is easy to use, just like a handbook formula.

AB - No simple error-rate formula is available to high-order equal-gain combining (EGC) although it is an open issue traceable to Lord Rayleigh. In this paper, we derive a polynomial error-rate formula for 4∼8th EGC in independent identically-distributed (iid) Rayleigh fading, with its coefficients provided in lookup tables and its base simply related to the branch signal-to-noise ratio. The polynomial formula enjoys fast convergence and 48 terms suffice to achieve the accuracy of 10-9 or higher. It is easy to use, just like a handbook formula.

KW - Diversity reception

KW - Equal-gain combiners

KW - Error analysis

KW - Handbook-type solutions to EGC

KW - High-order EGC performance

KW - Indexes

KW - Matlab

KW - Polynomial EGC formulas

KW - Probability density function

KW - Rayleigh channels

KW - Rayleigh fading.

KW - Symbols

UR - http://www.scopus.com/inward/record.url?scp=85128598089&partnerID=8YFLogxK

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-85128598089&origin=recordpage

U2 - 10.1109/LWC.2022.3166750

DO - 10.1109/LWC.2022.3166750

M3 - RGC 21 - Publication in refereed journal

SN - 2162-2337

VL - 11

SP - 1334

EP - 1338

JO - IEEE Wireless Communications Letters

JF - IEEE Wireless Communications Letters

IS - 7

ER -

Simple and Accurate Polynomial Formulas for Error Rates of High-Order EGC in iid Rayleigh Fading

Abstract

Research Keywords

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this